102240545300000 has 288 divisors, whose sum is σ = 268635863954304. Its totient is φ = 38208360960000.

The previous prime is 102240545299987. The next prime is 102240545300029. The reversal of 102240545300000 is 3545042201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98383112 + ... + 99416888.

It is an arithmetic number, because the mean of its divisors is an integer number (932763416508).

Almost surely, 2^{102240545300000} is an apocalyptic number.

102240545300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102240545300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134317931977152).

102240545300000 is an abundant number, since it is smaller than the sum of its proper divisors (166395318654304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102240545300000 is an equidigital number, since it uses as much as digits as its factorization.

102240545300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033878 (or 1033850 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 102240545300000 in words is "one hundred two trillion, two hundred forty billion, five hundred forty-five million, three hundred thousand".